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Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras

Abstract : We explore the relation between the singleton and adjoint modules of higher-spin algebras via so(2, d) characters. In order to relate the tensor product of the singleton and its dual to the adjoint module, we consider a heuristic formula involving symmetrization over the variables of the character. We show that our formula reproduces correctly the adjoint-module character for type-A (and its high-order extensions) and type-B higher-spin gravity theories in any dimension. Implications and subtleties of this symmetrization prescription in other models are discussed.
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https://hal.archives-ouvertes.fr/hal-01719627
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Submitted on : Wednesday, February 28, 2018 - 12:11:42 PM
Last modification on : Thursday, January 13, 2022 - 7:52:12 PM

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Thomas Basile, Xavier Bekaert, Euihun Joung. Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras. JHEP, 2018, 07, pp.009. ⟨10.1007/JHEP07(2018)009⟩. ⟨hal-01719627⟩

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